Prime p₀= 2776307068103906809 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 30 10 8 10 26 6 34 6 26 10 8 10 30 24 (?)
a_n: 0 24 54 64 72 82 108 114 148 154 180 190 198 208 238 262
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 262
Found by: JayPi
db: batch=82, k=16, 24 30 10 8 10 26 6 34

SPT(16)	2776305425139495071	0 30 32 72 78 98 140 182 258 300 342 362 368 408 410 440	-1642964411738
STPT(10)	2776305515489019329	0 2 12 14 30 32 48 50 60 62	-1552614887480
TPT(14)	2776305832260891941	0 2 6 8 36 38 96 98 126 128 138 140 150 152	-1235843014868
STPT(10)	2776306095811512917	0 2 42 44 102 104 162 164 204 206	-972292393892
STPT(10)	2776306695746356439	0 2 78 80 120 122 162 164 240 242	-372357550370
SPT(16)	2776307034527410543	0 24 40 48 66 90 108 136 168 196 214 238 256 264 280 304	-33576496266
STPT(10)	2776307468006860787	0 2 24 26 42 44 60 62 84 86	399902953978
SPT(16)	2776307625134881127	0 2 12 42 44 104 132 170 174 212 240 300 302 332 342 344	557030974318
STPT(10)	2776307828723612999	0 2 12 14 30 32 48 50 60 62	760619706190
SPT(16)	2776307968790188099	0 12 42 60 130 138 168 210 322 364 394 402 472 490 520 532	900686281290
STPT(10)	2776308288957367259	0 2 18 20 30 32 42 44 60 62	1220853460450